Respuesta :
Answer: The minimum volume of the container must be 460.54 L.
Explanation:
Density is defined as the ratio of mass and volume of a substance.
[tex]\text{Density}=\frac{\text{Mass}}{\text{Volume}} [/tex] ......(1)
Given values:
Volume of water = 0.37 L = 370 mL (Conversion factor: 1 L = 1000 mL)
Density of water = 1.00 g/mL
Putting values in equation 1, we get:
[tex]\text{Mass of water}=(1.00g/mL\times 370mL)=370g[/tex]
The number of moles is defined as the ratio of the mass of a substance to its molar mass.
The equation used is:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] ......(2)
Given mass of water = 370 g
Molar mass of water = 18 g/mol
Putting values in equation 2, we get:
[tex]\text{Moles of water}=\frac{370g}{18g/mol}=20.56mol[/tex]
At STP conditions:
1 mole of a gas occupies 22.4 L of volume
Applying unitary method:
20.56 moles of water will occupy = [tex]\frac{22.4L}{1mol}\times 20.56mol=460.54L[/tex] of volume.
Hence, the minimum volume of the container must be 460.54 L.
